Definition: In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.
Input: 4, 5, ['1333', 'K', '6611', 'X', '4773', '7459', '9641', '315', '6105', 'H', '7091', '5417', '9771']

4773